# A new efficient staggered grid finite difference scheme for elastic wave equation modeling

## TL;DR

This paper introduces a new staggered grid finite difference scheme that enhances efficiency in elastic wave equation modeling by combining different order schemes for spatial derivatives, maintaining accuracy.

## Contribution

It proposes a novel staggered grid finite difference scheme that improves efficiency while preserving accuracy in elastic wave simulations.

## Key findings

- The new scheme reduces computational cost.
- Dispersion analysis confirms maintained accuracy.
- Numerical simulations demonstrate improved efficiency.

## Abstract

Staggered grid finite difference scheme is widely used for the first order elastic wave equation, which constitutes the basis for least-squares reverse time migration and full waveform inversion. It is of great importance to improve the efficiency and accuracy of wave equation modeling. Usually the same staggered grid finite difference scheme is used for all the spatial derivatives in the first order elastic wave equation. In this paper, we propose a new staggered grid finite difference scheme which can improve the efficiency while preserving the same accuracy for the first order elastic wave equation simulation. It uses second order staggered grid finite difference scheme for some of the first order spatial derivatives while utilizing longer staggered grid finite difference operator for other first order spatial derivatives. We The staggered grid finite difference coefficients of the new finite difference scheme are determined in the space domain by a linear method. We demonstrate by dispersion analysis and numerical simulation the effectiveness of the proposed method.

---
Source: https://tomesphere.com/paper/1706.01915